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Finding the Fourth Proportional to 429.61, 644.61 and 321.61

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Solution

The fourth proportional to 429.61, 644.61 and 321.61 is: 482.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.61 : 644.61 = 321.61 : x
  2. Step 2: Convert to fraction form
    429.61/644.61 = 321.61/x
  3. Step 3: Cross multiply
    429.61x = 644.61 × 321.61
  4. Step 4: Simplify right side
    429.61x = 207,313.02
  5. Step 5: Solve for x
    x = 207,313.02/429.61
  6. Step 6: Final answer
    x = 482.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.